Name Institution Year elected J. Frank Adams (died 1989) University of Cambridge 1985 Ian Agol University of California, Berkeley 2016 Manindra Agrawal Indian Institute of Technology - Kanpur 2015 Lars V. Ahlfors (died 1996) Harvard University 1953 James W. Alexander (died 1971) Princeton University 1930 George Andrews The Pennsylvania State University - University Park 2003 Vladimir I. Arnold (died 2010) Russian Academy of Sciences 1983 James Arthur University of Toronto 2014 Michael Artin Massachusetts Institute of Technology 1977 Michael Aschbacher California Institute of Technology 1990 Richard Askey (died 2019) University of Wisconsin-Madison 1999 Michael Atiyah (died 2019) University of Edinburgh 1978 Artur Ávila University of Zurich 2019 Hyman Bass University of Michigan 1982 Eric Bell (died 1960) California Institute of Technology 1927 Elwyn Berlekamp (died 2019) University of California, Berkeley 1999 Joseph Bernstein Tel Aviv University 2004 Lipman Bers (died 1993) Columbia University 1964 Manjul Bhargava Princeton University 2013 R. H. Bing (died 1986) The University of Texas at Austin 1965 Garrett Birkhoff (died 1996) Harvard University 1968 George Birkhoff (died 1944) Harvard University 1918 Joan S. Birman Barnard College 2021 Jean-Michel Bismut Universite Paris-Saclay 2021 Spencer Bloch The University of Chicago 1994 Maxime Bôcher (died 1918) Harvard University 1909 Salomon Bochner (died 1982) Princeton University 1950 Fedor Bogomolov New York University 2022 Enrico Bombieri Institute for Advanced Study 1996 Richard Borcherds University of California, Berkeley 2014 Armand Borel (died 2003) Institute for Advanced Study 1987 Raoul Bott (died 2005) Harvard University 1964 Jean Bourgain (died 2018) Institute for Advanced Study 2011 Richard Brauer (died 1977) Harvard University 1955 Haim Brezis (died 2024) Rutgers, The State University of New Jersey 2003 Felix Browder (died 2016) Rutgers, The State University of New Jersey 1973 William Browder (died 2025) Princeton University 1980 Robert Bryant Duke University 2007 Donald Burkholder (died 2013) University of Illinois Urbana-Champaign 1992 Luis Caffarelli The University of Texas at Austin 1991 Eugenio Calabi (died 2023) University of Pennsylvania 1982 Alberto Calderón (died 1998) The University of Chicago 1968 Lennart Carleson KTH-Royal Institute of Technology 2006 Henri Cartan (died 2008) Universite de Paris 1972 Sun-Yung Alice Chang Princeton University 2009 Jeff Cheeger New York University 1997 Shiing-Shen Chern (died 2004) Nankai University 1961 Demetrios Christodoulou ETH Zurich 2012 Fan Chung University of California, San Diego 2024 Alonzo Church (died 1995) University of California, Los Angeles 1978 Arthur Coble (died 1966) University of Illinois at Urbana-Champaign 1924 Paul Cohen (died 2007) Stanford University 1967 Alain Connes Collège de France 1997 Peter Constantin Princeton University 2021 Richard Courant (died 1972) New York University 1955 Ennio De Giorgi (died 1996) Scuola Normale Superiore di Pisa 1995 Percy Deift New York University 2009 Pierre Deligne Institute for Advanced Study 2007 Laura DeMarco Harvard University 2020 Persi Diaconis Stanford University 1995 Paul Dirac (died 1984) Florida State University 1949 Simon Donaldson Imperial College London 2000 J. L. Doob (died 2004) University of Illinois Urbana-Champaign 1957 Jesse Douglas (died 1965) Massachusetts Institute of Technology 1946 Vladimir Drinfeld The University of Chicago 2016 Eugene Dynkin (died 2014) Cornell University 1985 Samuel Eilenberg (died 1998) Columbia University 1959 Yakov Eliashberg Stanford University 2003 Noam Elkies Harvard University 2017 Paul Erdős (died 1996) Hungarian Academy of Sciences 1980 Alex Eskin The University of Chicago 2015 Lawrence Craig Evans University of California, Berkeley 2014 L. D. Faddeev (died 2017) Russian Academy of Sciences 1990 Gerd Faltings Max Planck Institute for Mathematics 2018 Herbert Federer (died 2010) Brown University 1975 Charles Fefferman Princeton University 1979 Walter Feit (died 2004) Yale University 1977 William Feller (died 1970) Princeton University 1960 Michael Freedman Harvard University 1984 Igor Frenkel Yale University 2018 Jürg Fröhlich ETH Zurich 2020 William Fulton University of Michigan 1997 Hillel Furstenberg The Hebrew University of Jerusalem 1989 David Gabai Princeton University 2011 Dennis Gaitsgory Max Planck Institute for Mathematics 2020 David Gale (died 2008) University of California, Berkeley 1983 Frederick Gehring (died 2012) University of Michigan 1989 I. M. Gelfand (died 2009) Rutgers, The State University of New Jersey 1970 Andrew Gleason (died 2008) Harvard University 1966 James Glimm Stony Brook University, The State University of New York 1984 Cameron Gordon The University of Texas at Austin 2023 Daniel Gorenstein (died 1992) Rutgers, The State University of New Jersey 1987 Ronald Graham (died 2020) University of California, San Diego 1985 Ulf Grenander (died 2016) Brown University 1996 Robert Griess University of Michigan 2020 Phillip Griffiths Institute for Advanced Study 1979 Mikhail Gromov Institut des Hautes Études Scientifiques 1989 Benedict Gross (died 2025) Harvard University 2004 Victor Guillemin Massachusetts Institute of Technology 1985 Larry Guth Massachusetts Institute of Technology 2021 Christopher Hacon University of Utah 2018 Richard S. Hamilton (died 2024) Columbia University 1999 Harish-Chandra (died 1983) Institute for Advanced Study 1981 Joseph Harris Harvard University 2011 Michael Harris Columbia University 2022 F. Reese Harvey Rice University 2024 F. Hirzebruch (died 2012) Max Planck Institute for Mathematics 1986 Gerhard Hochschild (died 2010) University of California, Berkeley 1979 Melvin Hochster University of Michigan 1992 Helmut Hofer Institute for Advanced Study 2008 Michael J. Hopkins Harvard University 2010 Lars Hörmander (died 2012) Lund University 1976 Roger E. Howe Yale University 1994 Loo-Keng Hua (died 1985) Academia Sinica 1982 Kiyosi Itô (died 2008) Kyoto University 1998 Henryk Iwaniec Rutgers, The State University of New Jersey, New Brunswick 2006 Nathan Jacobson (died 1999) Yale University 1954 Arthur Jaffe Harvard University 2000 Svetlana Jitomirskaya University of California, Berkeley 2022 Peter Jones Yale University 2008 Vaughan Jones (died 2020) Vanderbilt University 1999 Mark Kac (died 1984) University of Southern California 1965 Victor Kac Massachusetts Institute of Technology 2013 Richard V. Kadison (died 2018) University of Pennsylvania 1996 Rudolf Kalman (died 2016) ETH Zurich 1994 Irving Kaplansky (died 2006) University of California, Berkeley 1966 Masaki Kashiwara Kyoto University 2023 Nicholas Katz Princeton University 2004 David Kazhdan The Hebrew University of Jerusalem 1990 Carlos Kenig The University of Chicago 2014 Robion Kirby University of California, Berkeley 2001 Sergiu Klainerman Princeton University 2005 Stephen Kleene (died 1994) University of Wisconsin-Madison 1969 Kunihiko Kodaira (died 1997) Gakushuin University 1975 Joseph Kohn (died 2023) Princeton University 1988 János Kollár Princeton University 2005 A. Kolmogorov (died 1987) Moscow State University 1967 Maxim Kontsevich Institut des Hautes Études Scientifiques 2015 Bertram Kostant (died 2017) Massachusetts Institute of Technology 1978 Bryna Kra Northwestern University - Evanston 2019 Mark G. Krein (died 1989) Ukrainian Academy of Sciences 1981 Martin Kruskal (died 2006) Rutgers, The State University of New Jersey 1980 Jeffrey Lagarias University of Michigan 2024 Serge Lang (died 2005) Yale University 1985 Robert Langlands Institute for Advanced Study 1993 H. Blaine Lawson Stony Brook University, The State University of New York 1995 Peter Lax (died 2025) New York University 1970 Jean Leray (died 1998) Collège de France 1965 Norman Levinson (died 1975) Massachusetts Institute of Technology 1967 Hans Lewy (died 1988) University of California, Berkeley 1964 Elliott Lieb Princeton University 1984 Fanghua Lin New York University 2025 László Lovász Alfred Renyi Institute of Mathematics 2012 Jacob Lurie Institute for Advanced Study 2020 George Lusztig Massachusetts Institute of Technology 1992 Mikhail Lyubich Stony Brook University, The State University of New York 2022 Saunders Mac Lane (died 2005) The University of Chicago 1949 George W. Mackey (died 2006) Harvard University 1962 Robert MacPherson Institute for Advanced Study 1992 Grigory Margulis Yale University 2001 John Mather (died 2017) Princeton University 1988 Barry Mazur Harvard University 1982 Dusa McDuff Barnard College 1999 Henry McKean (died 2024) New York University 1980 Curtis McMullen Harvard University 2007 Edward J. McShane (died 1989) University of Virginia 1948 John Milnor Stony Brook University, The State University of New York 1963 Maryam Mirzakhani (died 2017) Stanford University 2016 Deane Montgomery (died 1992) Institute for Advanced Study 1955 Robert Moore (died 1974) University of Texas 1931 John Morgan Columbia University 2009 Shigefumi Mori Kyoto University 2017 Charles B. Morrey Jr. (died 1984) University of California, Berkeley 1962 Jürgen Moser (died 1999) ETH Zurich 1971 G. D. Mostow (died 2017) Yale University 1974 Tomasz Mrowka Massachusetts Institute of Technology 2015 Francis Murnaghan (died 1976) Johns Hopkins University 1942 Aaron Naber Institute for Advanced Study 2024 John F. Nash Jr. (died 2015) Princeton University 1996 Edward Nelson (died 2014) Princeton University 1997 Louis Nirenberg (died 2020) New York University 1969 Sergei Novikov University of Maryland, College Park 1994 Andrei Okounkov Columbia University 2012 Donald Ornstein Stanford University 1981 William F. Osgood (died 1943) Harvard University 1904 Peter S. Ozsvath Princeton University 2018 Jacob Palis (died 2025) Institute for Pure and Applied Mathematics 2001 Charles Peirce (died 1914) Johns Hopkins University 1877 Benjamin Peirce (died 1880) resigned 1863 Duong H. Phong Columbia University 2024 George Polya (died 1985) Stanford University 1976 Sorin Popa University of California, Los Angeles 2025 Daniel Quillen (died 2011) University of Oxford 1978 Paul Rabinowitz University of Wisconsin-Madison 1998 Marina Ratner (died 2017) University of California, Berkeley 1993 Kenneth Ribet University of California, Berkeley 2000 Herbert Robbins (died 2001) Rutgers, The State University of New Jersey 1974 Abraham Robinson (died 1974) Institute for Advanced Study 1974 Julia Robinson (died 1985) University of California, Berkeley 1976 Gian-Carlo Rota (died 1999) Massachusetts Institute of Technology 1982 Laure Saint-Raymond Institut des Hautes Études Scientifiques 2022 Peter Sarnak Princeton University 2002 Mikio Sato (died 2023) Kyoto University 1993 M. M. Schiffer (died 1997) Stanford University 1970 Wilfried Schmid Harvard University 2020 Richard Schoen Stanford University 1991 Jean-Pierre Serre Collège de France 1979 James Serrin (died 2012) University of Minnesota 1980 Conjeeveram Seshadri (died 2020) Chennai Mathematical Institute 2010 Claude Shannon (died 2001) Massachusetts Institute of Technology 1956 Scott Sheffield Massachusetts Institute of Technology 2025 Barry Simon California Institute of Technology 2019 James H. Simons (died 2024) Simons Foundation 2014 Yakov G. Sinai Princeton University 1999 Isadore Singer (died 2021) Massachusetts Institute of Technology 1968 Yum-Tong Siu Harvard University 2002 Stephen Smale University of California, Berkeley 1970 Karen E. Smith University of Michigan 2019 Paul Smith (died 1980) Columbia University 1941 Robert M. Solovay University of California, Berkeley 1986 D. C. Spencer (died 2001) Princeton University 1961 Thomas C. Spencer Institute for Advanced Study 2010 Gigliola Staffilani Massachusetts Institute of Technology 2021 Richard P. Stanley University of Miami 1995 Harold Stark University of California, San Diego 2007 Charles Stein (died 2016) Stanford University 1975 Elias M. Stein (died 2018) Princeton University 1974 Robert Stein